Generating Families in the Restricted Three-Body Problem (Record no. 31722)
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000 -LEADER | |
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fixed length control field | 03172nam a22005415i 4500 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
ISBN | 9783540447122 |
-- | 978-3-540-44712-2 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 520 |
100 1# - MAIN ENTRY--AUTHOR NAME | |
Personal name | Hénon, Michel. |
245 10 - TITLE STATEMENT | |
Title | Generating Families in the Restricted Three-Body Problem |
Sub Title | II. Quantitative Study of Bifurcations / |
Statement of responsibility, etc | by Michel Hénon. |
260 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
Place of publication | Berlin, Heidelberg : |
Name of publisher | Springer Berlin Heidelberg, |
Year of publication | 2001. |
300 ## - PHYSICAL DESCRIPTION | |
Number of Pages | XII, 304 p. |
Other physical details | online resource. |
490 1# - SERIES STATEMENT | |
Series statement | Lecture Notes in Physics Monographs, |
505 0# - FORMATTED CONTENTS NOTE | |
Formatted contents note | Definitions and General Equations -- Quantitative Study of Type 1 -- Partial Bifurcation of Type 1 -- Total Bifurcation of Type 1 -- The Newton Approach -- Proving General Results -- Quantitative Study of Type 2 -- The Case 1/3 v < 1/2 -- Partial Transition 2.1 -- Total Transition 2.1 -- Partial Transition 2.2 -- Total Transition 2.2 -- Bifurcations 2T1 and 2P1. |
520 ## - SUMMARY, ETC. | |
Summary, etc | The classical restricted three-body problem is of fundamental importance because of its applications in astronomy and space navigation, and also as a simple model of a non-integrable Hamiltonian dynamical system. A central role is played by periodic orbits, of which many have been computed numerically. This is the second volume of an attempt to explain and organize the material through a systematic study of generating families, the limits of families of periodic orbits when the mass ratio of the two main bodies becomes vanishingly small. We use quantitative analysis in the vicinity of bifurcations of types 1 and 2. In most cases the junctions between branches can now be determined. A first-order approximation of families of periodic orbits in the vicinity of a bifurcation is also obtained. This book is intended for scientists and students interested in the restricted problem, in its applications to astronomy and space research, and in the theory of dynamical systems. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Physics. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Computer science |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Astronomy. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Astrophysics. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Engineering. |
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Physics. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Astronomy. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Complexity. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Computational Mathematics and Numerical Analysis. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Extraterrestrial Physics, Space Sciences. |
856 40 - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | http://dx.doi.org/10.1007/3-540-44712-1 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Koha item type | E-BOOKS |
264 #1 - | |
-- | Berlin, Heidelberg : |
-- | Springer Berlin Heidelberg, |
-- | 2001. |
336 ## - | |
-- | text |
-- | txt |
-- | rdacontent |
337 ## - | |
-- | computer |
-- | c |
-- | rdamedia |
338 ## - | |
-- | online resource |
-- | cr |
-- | rdacarrier |
347 ## - | |
-- | text file |
-- | |
-- | rda |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
-- | 0940-7677 ; |
Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Accession Number | Uniform Resource Identifier | Koha item type |
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IMSc Library | EBK2428 | http://dx.doi.org/10.1007/3-540-44712-1 | E-BOOKS |